document.write( "Question 1041241: HI ! Could you tell me if my answers are correct?\r
\n" ); document.write( "\n" ); document.write( "#1. (-7-5i)-(12-11i) would the answer be -19+6i ?
\n" ); document.write( "#2. (4+i)(-3+4i) would the answer be -16+13i ?
\n" ); document.write( "#3. (1+2i) over (6-8i) would the answer be 22 over 100 + 20 over 100 i\r
\n" ); document.write( "\n" ); document.write( "Thank you so much
\n" ); document.write( "

Algebra.Com's Answer #656202 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
# 1) Correct\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "# 2) Correct\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "# 3) The answer is actually \"-1%2F10+%2B+expr%281%2F5%29i\". See below\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Steps for # 3\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%281%2B2i%29%2F%286-8i%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%281%2B2i%29%2F%286-8i%29%29%2A%28%286%2B8i%29%2F%286%2B8i%29%29\" Multiply by \"%286%2B8i%29%2F%286%2B8i%29\" which is a fancy form of 1\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%281%2B2i%29%286%2B8i%29%29%2F%28%286-8i%29%286%2B8i%29%29\" Combine fractions\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%286%2B8i%2B12i%2B16i%5E2%29%2F%286%5E2-%288i%29%5E2%29\" Expand\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%286%2B8i%2B12i%2B16i%5E2%29%2F%2836-64i%5E2%29\" Square each term\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%286%2B8i%2B12i%2B16%28-1%29%29%2F%2836-64%28-1%29%29\" Use the idea that \"i%5E2+=+-1\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%286%2B8i%2B12i-16%29%2F%2836%2B64%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28-10%2B20i%29%2F100\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28-10%29%2F100%2B%2820i%29%2F100\" Break up the fraction\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-1%2F10%2Bexpr%281%2F5%29i\" Reduce\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%281%2B2i%29%2F%286-8i%29\" is equivalent to \"-1%2F10%2Bexpr%281%2F5%29i\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "So again, the answer for problem #3 is \"-1%2F10+%2B+expr%281%2F5%29i\"
\n" ); document.write( "
\n" );